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Finding the Fourth Proportional to 34,195.69, 47,197.93 and 20,053.09

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Solution

The fourth proportional to 34,195.69, 47,197.93 and 20,053.09 is: 27,677.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,195.69 : 47,197.93 = 20,053.09 : x
  2. Step 2: Convert to fraction form
    34,195.69/47,197.93 = 20,053.09/x
  3. Step 3: Cross multiply
    34,195.69x = 47,197.93 × 20,053.09
  4. Step 4: Simplify right side
    34,195.69x = 946,464,338.10
  5. Step 5: Solve for x
    x = 946,464,338.10/34,195.69
  6. Step 6: Final answer
    x = 27,677.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.